I too never had have any problems with tinnitus when sleeping. In fact, when I got it a year ago, I was actually looking forward to sleep because I knew the tinnitus would then go away. That's why I never felt any need to use any white noise to mask it.
When the big dose of GABA kicked in, which from what I understand is happening when you fall asleep, I experienced total piece and quiet.
For me, waking up in the morning was never really an issue. It felt good because the tinnitus took its sweet time to get back. I'd say 10-20 minutes. Maybe because I'm not a morning person?